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Simplifying 6c + 7 = 8c + 13 Reorder the terms: 7 + 6c = 8c + 13 Reorder the terms: 7 + 6c = 13 + 8c Solving 7 + 6c = 13 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 7 + 6c + -8c = 13 + 8c + -8c Combine like terms: 6c + -8c = -2c 7 + -2c = 13 + 8c + -8c Combine like terms: 8c + -8c = 0 7 + -2c = 13 + 0 7 + -2c = 13 Add '-7' to each side of the equation. 7 + -7 + -2c = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -2c = 13 + -7 -2c = 13 + -7 Combine like terms: 13 + -7 = 6 -2c = 6 Divide each side by '-2'. c = -3 Simplifying c = -3
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